Multiple singular integrals and Marcinkiewicz integrals with mixed homogeneity along surfaces

DOI10.1186/1029-242X-2012-189zbMath1330.42009WikidataQ59289830 ScholiaQ59289830MaRDI QIDQ386680

Feng Liu, Huo Xiong Wu

Publication date: 10 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

product domainsmaximal operatorsLebesgue spacesmixed homogeneitymultiple singular integralsmultiple Marcinkiewicz integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (10)

Multiple singular integrals and maximal operators related to homogeneous mappings ⋮ \(L^p\) bounds for Marcinkiewicz integrals associated to homogeneous mappings ⋮ Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces ⋮ Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces ⋮ Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces ⋮ L^p boundedness for maximal singular integrals with mixed homogeneity along compounds curves ⋮ On singular integrals associated to surfaces ⋮ On Marcinkiewicz integrals associated to compound mappings with rough kernels ⋮ Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels ⋮ Boundedness of Marcinkiewicz integrals with mixed homogeneity along compound surfaces

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